Dubois, A. (2013) Fourier Optics. Monograph, Institut d’Optique, ParisTech, 14.
has been cited by the following article:
- TITLE: A New Approach to Telescope Fourier Optics
- AUTHORS: Roy Danchick
- KEYWORDS: Fourier Optics, Fourier Transforms, Convolution, Bessel Functions, Filon Quadrature
JOURNAL NAME: Open Access Library Journal
Nov 07, 2019
In this paper we take a new approach to solving the Ray-leigh-Sommerfeld-Smythe equation for a telescope’s optical impulse re-sponse to a monochromatic point source spherical wave radiating outward from the origin in the object plane. Two cases are covered: 1) the point source at the origin in the telescope’s near-field object plane; 2) the point source at the origin in the far-field object plane as is the case with satellite infrared sensors when the distance between the telescope and the point source is very much greater than the telescope’s circular aperture diameter. With only the assumption of a thin circular aperture we 1) derive a general solution that erases the distinction among the three classically defined zones of the optical axis: Near, Fresnel, and Fraunhofer; 2) reduce the computational complexity down from two-dimensional to one-dimensional Fourier transform integrals and; 3) identify Filon quadrature as the numerical method of choice for accurately and efficiently approximating the values of these integrals and; 4) provide a computational example.